Boussinesq solitary-wave as a multiple-time solution of the Korteweg–de Vries hierarchy

DOI10.1063/1.531190zbMath0844.35108arXivpatt-sol/9507005OpenAlexW3101174372MaRDI QIDQ4873405

Juan C. Montero, M. A. Manna, José Geraldo Pereira, Roberto A. Kraenkel

Publication date: 3 September 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/patt-sol/9507005

zbMATH Keywords

Boussinesq equationsolitary waveKorteweg-de Vries hierarchymultiple-time reductive perturbation method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Perturbations in context of PDEs (35B20)

Related Items

Higher Order Terms in Multiscale Expansions: A Linearized KdV Hierarchy ⋮ Validity of the Weakly Nonlinear Solution of the Cauchy Problem for the Boussinesq-Type Equation ⋮ Derivation of Korteweg-de Vries flow equations from the regularized long-wave (RLW) equation ⋮ The bi-Hamiltonian structure of the perturbation equations of the KdV hierarchy. ⋮ The KdV hierarchy and the propagation of solitons on very long distances ⋮ Integrable theory of the perturbation equations.

Cites Work

• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• Higher Order Approximation in the Reductive Perturbation Method. I. The Weakly Dispersive System
• The Korteweg–de Vries hierarchy and long water-waves
• A new method of expansion in mathematical physics - I
• Integrals of nonlinear equations of evolution and solitary waves

This page was built for publication: Boussinesq solitary-wave as a multiple-time solution of the Korteweg–de Vries hierarchy